Composite　pulses　are　an　efficient　tool　for　robust　quantum　control.　In　this　work,　we　derive　the　form　of　the　composite　pulse　sequence　to　implement　robust　single-qubit　gates　in　a　three-level　system,　where　two　low-energy　levels　act　as　a　qubit.　The　composite　pulses　can　efficiently　cancel　the　systematic　errors　up　to　a　certain　order.　We　find　that　the　three-pulse　sequence　cannot　completely　eliminate　the　first　order　of　systematic　errors,　but　still　availably　makes　the　fidelity　resistant　to　variations　in　a　specific　direction.　When　employing　more　pulses　in　the　sequence　(N＞3),　the　fidelity　can　be　insensitive　to　the　variations　in　all　directions　and　the　robustness　region　becomes　much　wider.　Finally　we　demonstrate　the　applications　of　composite　pulses　in　quantum　information　processing,　e.g.,　robust　quantum　information　transfer　between　two　qubits.　©　2021　American　Physical　Society.